Least Common Multiple of 150/896, 979/920, 114/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 150/896, 979/920, 114/749 quickly i.e. 2790150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 150/896, 979/920, 114/749 is 2790150.

LCM(150/896, 979/920, 114/749) = 2790150

LCM of 150/896, 979/920, 114/749

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 150/896,979/920,114/749

Given numbers are 150/896,979/920,114/749

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 150,979,114

Least Common Multiple of Numerators i.e. LCM of 150,979,114 is 2790150.

GCF of Denominators means GCF of 896,920,749 as per the given fractions.

GCF of 896,920,749 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 150,979,114

LCM of Fractions 150/896,979/920,114/749 is 2790150

2 150, 979, 114
3 75, 979, 57
25, 979, 19

∴ So the LCM of the given numbers is 2 x 3 x 25 x 979 x 19 = 2790150

Least Common Multiple of 150,979,114 with GCF Formula

Least Common Multiple of 150,979,114 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 150,979,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,979,114) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(150,979,114) x common factors =1 x 6 = 6

LCM(150,979,114) = ( 150 × 979 × 114 ) / 6

LCM(150,979,114) = 16740900 / 6

LCM(150,979,114) = 2790150


Lets's calculate GCF of 896,920,749

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2790150/1

Therefore the LCM of Fractions 150/896,979/920,114/749 is 2790150

Greatest Common Factor of 896,920,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,920,749 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 896,920,749 . The biggest common factor number is the GCF number.
So the greatest common factor 896,920,749 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 150/896, 979/920, 114/749

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 150/896, 979/920, 114/749?

Answer: LCM of Numerators as per given numbers 150/896, 979/920, 114/749 is

LCM of Numerators i.e. for 150,979,114 is 2790150

GCF of denominators i.e. for 896,920,749 is 1.

Thus, LCM of Fractions is 2790150.Finally, LCM of Fractions for 150/896, 979/920, 114/749 is 2790150.